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20231001221200 = 2452711282972031
BaseRepresentation
bin1001001100110011001011…
…01001000010100001010000
32122122001202021000101210221
410212121211221002201100
510122431042303034300
6111005554344002424
74155433033012660
oct446314551024120
978561667011727
1020231001221200
11649aa1284a600
122328aa1460414
13b39a10241c83
144dd2857321a0
152513c4ca731a
hex126665a42850

20231001221200 has 360 divisors, whose sum is σ = 61131996746240. Its totient is φ = 6298072704000.

The previous prime is 20231001221177. The next prime is 20231001221201. The reversal of 20231001221200 is 212210013202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20231001221201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 280829185 + ... + 280901215.

Almost surely, 220231001221200 is an apocalyptic number.

20231001221200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20231001221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30565998373120).

20231001221200 is an abundant number, since it is smaller than the sum of its proper divisors (40900995525040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20231001221200 is a wasteful number, since it uses less digits than its factorization.

20231001221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72907 (or 72885 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 20231001221200 its reverse (212210013202), we get a palindrome (20443211234402).

The spelling of 20231001221200 in words is "twenty trillion, two hundred thirty-one billion, one million, two hundred twenty-one thousand, two hundred".